Least Common Multiple of 412/24, 475/9006

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/24, 475/9006 quickly i.e. 195700/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/24, 475/9006 is 195700/6.

LCM(412/24, 475/9006) = 195700/6

LCM of 412/24, 475/9006

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 412/24,475/9006

Given numbers are 412/24,475/9006

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 412,475

Least Common Multiple of Numerators i.e. LCM of 412,475 is 195700.

GCF of Denominators means GCF of 24,9006 as per the given fractions.

GCF of 24,9006 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,475

LCM of Fractions 412/24,475/9006 is 195700/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 195700

Least Common Multiple of 412,475 with GCF Formula

Least Common Multiple of 412,475 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 412,475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,475) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(412,475) x common factors =1 x 1 = 1

LCM(412,475) = ( 412 × 475 ) / 1

LCM(412,475) = 195700 / 1

LCM(412,475) = 195700


Lets's calculate GCF of 24,9006

2 24, 9006
3 12, 4503
4, 1501

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195700/6

Therefore the LCM of Fractions 412/24,475/9006 is 195700/6

Greatest Common Factor of 24,9006 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,9006 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 9006

List of positive integer factors of 9006 that divides 9006 without a remainder.

1,2,3,6,19,38,57,79,114,158,237,474,1501,3002,4503,9006

Greatest Common Factor

We found the factors 24,9006 . The biggest common factor number is the GCF number.
So the greatest common factor 24,9006 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 412/24, 475/9006

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 412/24, 475/9006?

Answer: LCM of Numerators as per given numbers 412/24, 475/9006 is

LCM of Numerators i.e. for 412,475 is 195700

GCF of denominators i.e. for 24,9006 is 6.

Thus, LCM of Fractions is 195700/6.Finally, LCM of Fractions for 412/24, 475/9006 is 195700/6.